Atkin-Lehner |
3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121275em |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5806080 |
Modular degree for the optimal curve |
Δ |
-1.0052768576136E+20 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11- 1 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-26524805,52589549072] |
[a1,a2,a3,a4,a6] |
j |
-5916387959190625/288178803 |
j-invariant |
L |
1.4261712768026 |
L(r)(E,1)/r! |
Ω |
0.17827137401657 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40425cf1 121275gl1 121275ct1 |
Quadratic twists by: -3 5 -7 |